Assuming that this is considered as MOS 2, Batman has already hampered Superman's potential trilogy already.

For the years to come, Superman will no longer be remembered mostly for being a hero on his own anymore, let alone for having his own solo trilogy/franchise since Batman will always be a part of that now.

This new batman will likely have his own set of solo films to go by off and I doubt Superman or any other hero will be in it, thus giving Batman not one, but potentially two solo trilogies on his own.